Let R be the shaded region defined and bounded by the graphs of C:y = v25 – x², Cz:y =- 5, and C3: y = 2x – 5 as shown in the figure. 2 (-4, 3) (4,3 (0, -5) Set up the (sum of) definite integral (s) equal to a) the area of region R using horizontal rectangles (do not simplify the answer) and b) the volume of the solid generated when the region R is revolved about the line y=5 using the washers method. Do not simplify the answer. R.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Let R be the shaded region defined and bounded by the graphs of
C:y = v25 – x², Cz:y =- 5, and C3: y = 2x – 5 as shown in the figure.
2
(-4, 3)
(4,3
(0, -5)
Set up the (sum of) definite integral (s) equal to
a) the area of region R using horizontal rectangles (do not simplify the answer) and
b) the volume of the solid generated when the region R is revolved about the line y=5 using the
washers method. Do not simplify the answer.
R.
Transcribed Image Text:Let R be the shaded region defined and bounded by the graphs of C:y = v25 – x², Cz:y =- 5, and C3: y = 2x – 5 as shown in the figure. 2 (-4, 3) (4,3 (0, -5) Set up the (sum of) definite integral (s) equal to a) the area of region R using horizontal rectangles (do not simplify the answer) and b) the volume of the solid generated when the region R is revolved about the line y=5 using the washers method. Do not simplify the answer. R.
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